Question

can someone help me with this. Add the fraction 5/7+3/8 and write the result in simplest form

Answer 1

\(\normalsize\color{blue}{ 5/7+3/8\LARGE\color{white}{ \rm │ }}\).
can you first find the common denominator ?

Answer 2

56?

Answer 3

YEs !

Answer 4

Okay, so you will get

\(\Large\color{blue}{ \frac{5}{7}+\frac{3}{8}\LARGE\color{white}{ \rm │ }}\)

\(\Large\color{blue}{ \frac{5\times 8}{56}+\frac{3\times 7}{56}\LARGE\color{white}{ \rm │ }}\)

Answer 5

can you multiply on top of each fraction, and add the factions together ?

Answer 6

Add the *fractions

Answer 7

ok is that called cross multiplying

Answer 8

no, cross multiplying, is t=when you have 2 fractions equal to each other, and in one of the fractions you have an unknown variable, and you then cross multiply.

Answer 9

you JUST multiply

Answer 10

\(\Large\color{blue}{ \frac{5\times 8}{56}+\frac{3\times 7}{56}\LARGE\color{white}{ \rm │ }}\) and I will get, \(\Large\color{blue}{ \frac{40}{56}+\frac{21}{56}\LARGE\color{white}{ \rm │ }}\) right ?

Answer 11

right

Answer 12

add the fractions (without adding the denominators, which are the bottoms of the fractions) and tell me what you get.

Answer 13

61/56

Answer 14

Yes.

Answer 15

You can either write it as an improper fraction (the way you have it right now)

OR, you can say that it is 1 5/56. Which is te same exact thing, but in terms of a mixed number.

Answer 16

Good work :)

Answer 17

thank you so much! but how do you write it in simplest form?

Answer 18

It would be either, \(\large\color{blue}{ \frac{61}{56}\LARGE\color{white}{ \rm │ }}\), or \(\large\color{blue}{ 1\frac{5}{56}\LARGE\color{white}{ \rm │ }}\).

Answer 19

I would use the mixed number though, since it is actually properly written.

Answer 20

oh ok thanks again!

Answer 21

Anytime !